%0 Journal Article
%T AN INTERACTIVE METHOD BASED ON EXACT PENALTY FUNCTION FOR MULTIOBJECTIVE PROGRAMMING<br>多目标规划的一类基于精确罚函数的交互式方法
%A Bao Chang SHI
%A Ting CHEN
%A <br>施保昌
%J 系统科学与数学
%D 1999
%I 
%X The existence of exact penalty function for multiobjective programming is proved under the condition that the linearized cone of constraints is nonempty, and the lower boundedness of penalty factor is obtained by using the Kuhn-Tucker multipliers of quadratic programming subproblem of the primal problem at some points. On this basis, an interactive algorithm is proposed by using the idea of maximum entropy method. Numerical experiments indicate that the algorithm is stable, efficient and easily used.
%K Multiobjective programming
%K exact penalty function
%K Kuhn-Tucker multiplier
%K lower boundedness
%K interactive algorithm<br>多目标规划
%K 精确罚函数
%K Kuhn－Tucker（K－T）乘子
%K 下界
%K 交互式算法
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=DB8762F204FAAB3E511C8751FF16246E&yid=B914830F5B1D1078&vid=2A8D03AD8076A2E3&iid=CA4FD0336C81A37A&sid=F24949CFDB502409&eid=4DB1E72614E68564&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=3&reference_num=0